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Finding the Third Proportional to 172,850 and 375,208

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Solution

The third proportional to 172,850 and 375,208 is: 814,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,850 : 375,208 = 375,208 : x
  2. Step 2: Convert to fraction form
    172,850/375,208 = 375,208/x
  3. Step 3: Cross multiply
    172,850x = 375,208 × 375,208
  4. Step 4: Simplify right side
    172,850x = 140,781,043,264
  5. Step 5: Solve for x
    x = 140,781,043,264/172,850
  6. Step 6: Final answer
    x = 814,469.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.